Search a number
-
+
16229268 = 22331119719
BaseRepresentation
bin111101111010…
…001110010100
31010112112101000
4331322032110
513123314033
61335503300
7254642436
oct75721624
933475330
1016229268
119185320
125527b30
133493023
142226656
151658a13
hexf7a394

16229268 has 96 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 4652640.

The previous prime is 16229267. The next prime is 16229281. The reversal of 16229268 is 86292261.

It is a happy number.

16229268 is a `hidden beast` number, since 1 + 622 + 9 + 26 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16229263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22213 + ... + 22931.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 216229268 is an apocalyptic number.

16229268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16229268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

16229268 is an abundant number, since it is smaller than the sum of its proper divisors (32154732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16229268 is a wasteful number, since it uses less digits than its factorization.

16229268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16229268 is about 4028.5565653221. The cubic root of 16229268 is about 253.1820880840.

The spelling of 16229268 in words is "sixteen million, two hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 719 836 1026 1188 1254 1438 1881 2052 2157 2508 2876 3762 4314 5643 6471 7524 7909 8628 11286 12942 13661 15818 19413 22572 23727 25884 27322 31636 38826 40983 47454 54644 71181 77652 81966 94908 122949 142362 150271 163932 213543 245898 284724 300542 368847 427086 450813 491796 601084 737694 854172 901626 1352439 1475388 1803252 2704878 4057317 5409756 8114634 16229268